Heuristics: intelligent search strategies for computer problem solving
Heuristics: intelligent search strategies for computer problem solving
Stochastic Modeling of Branch-and-Bound Algorithms with Best-First Search
IEEE Transactions on Software Engineering - Special issue on COMPSAC 1982 and 1983
Characterization and Theoretical Comparison of Branch-and-Bound Algorithms for Permutation Problems
Journal of the ACM (JACM)
Random Trees and the Analysis of Branch and Bound Procedures
Journal of the ACM (JACM)
Anomalies in parallel branch-and-bound algorithms
Communications of the ACM
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
MANIP-a parallel computer system for implementing branch and bound algorithms
ISCA '81 Proceedings of the 8th annual symposium on Computer Architecture
ISCA '84 Proceedings of the 11th annual international symposium on Computer architecture
MANIP A Multicomputer Architecture for Solving Combinatonal Extremum-Search Problems
IEEE Transactions on Computers
Survey on special purpose computer architectures for AI
ACM SIGART Bulletin
Computational Efficiency of Parallel Combinatorial OR-Tree Searches
IEEE Transactions on Software Engineering
Performance analysis for parallel solutions to generic search problems
SAC '97 Proceedings of the 1997 ACM symposium on Applied computing
State of the Art in Parallel Search Techniques for Discrete Optimization Problems
IEEE Transactions on Knowledge and Data Engineering
Modeling Speedup (n) Greater than n
IEEE Transactions on Parallel and Distributed Systems
Predicting the Performance of Randomized Parallel Search: An Application to Robot Motion Planning
Journal of Intelligent and Robotic Systems
Paper: Automatic test pattern generation on parallel processors
Parallel Computing
Branch-and-bound and parallel computation: A historical note
Operations Research Letters
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A general technique that can be used to solve a wide variety of discrete optimization problems is the branch-and-bound algorithm. We have adapted and extended branch-and-bound algorithms for parallel processing. The computational efficiency of these algorithms depends on the allowance function, the data structure, and the search strategies. Anomalies owing to parallelism may occur. In this correspondence, anomalies of parallel branch-and-bound algorithms using the same search strategy as the corresponding serial algorithms are studied. Sufficient conditions to guarantee no degradation in performance due to parallelism and necessary conditions for allowing parallelism to have a speedup greater than the number of processors are presented.